Personally, I'd keep it simple & a low outlay initially. You don't know how much diving you'll be doing, for one thing.
At first, I'd go for a wrist mounted computer - you always know where it is and easy to watch as you ascend. And a simple one.
In many ways, your BC is the most important as it comes with lots of options and fittings. Loads available secondhand - at least, that's the case in the UK. Buying - blow it up and see if it stays blown up. Inflate from a reg and check that it doesn't keep inflating. Check dumps. Look it over carefully for wear & tear. See how it feels.
Then, there's not much to go wrong - most common issue is the schrader valve on the inflator leaking air in. V simple & cheap to fix - and you're one step to understanding your kit better.
Lots of talk about regulators - but virtually any regulator sold in the last 10 years is good. Maybe find one that someone has bought, used a bit & then decided diving ain't for them? You might feel more comfortable having it serviced - but I recently read an excellent guide on SB to checking your own reg over.
I'd stick with a major brand for serviceability - and resale....
If you prefer buying new, that Hog package for $800 looks OK (although I'm unfamiliar with US prices). I'd avoid the SEAC computers - they are a decent 2nd line Italian manufacturer, but new to computers and, from reviews, seem to have a leakage issue.
Finally...... It's worth a quick look at Amazon - at least in the UK, they have some bizarre pricing anomalies. I saw a decent looking Cressi BC recently where one size was half the cost of the others. And Amazon warehouse (their returns section, at least in Europe) can have spectacular bargains.
